1418200272 has 80 divisors (see below), whose sum is σ = 4079193280. Its totient is φ = 471754368.

The previous prime is 1418200271. The next prime is 1418200313. The reversal of 1418200272 is 2720028141.

It is a super-3 number, since 3×1418200272³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418200271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222798 + ... + 229074.

It is an arithmetic number, because the mean of its divisors is an integer number (50989916).

Almost surely, 2^1418200272 is an apocalyptic number.

1418200272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039596640).

1418200272 is an abundant number, since it is smaller than the sum of its proper divisors (2660993008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1418200272 is a wasteful number, since it uses less digits than its factorization.

1418200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1418200272 is about 37658.9998805067. Note that the first 3 decimals coincide. The cubic root of 1418200272 is about 1123.5158099098.

The spelling of 1418200272 in words is "one billion, four hundred eighteen million, two hundred thousand, two hundred seventy-two".